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Robust consensus of multi-agent systems with noise
Wang Lin; Liu ZhiXin
2009-05-01
发表期刊SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
ISSN1009-2757
卷号52期号:5页码:824-834
摘要The consensus problem of multi-agent systems has attracted wide attention from researchers in recent years, following the initial work of Jadbabaie et al. on the analysis of a simplified Vicsek model. While the original Vicsek model contains noise effects, almost all the existing theoretical results on consensus problem, however, do not take the noise effects into account. The purpose of this paper is to initiate a study of the consensus problems under noise disturbances. First, the class of multi-agent systems under study is transformed into a general time-varying system with noise. Then, for such a system, the equivalent relationships are established among (i) robust consensus, (ii) the positivity of the second smallest eigenvalue of a weighted Laplacian matrix, and (iii) the joint connectivity of the associated dynamical neighbor graphs. Finally, this basic equivalence result is shown to be applicable to several classes of concrete multi-agent models with noise.
关键词time-varying systems stochastic matrix robust consensus connectivity exponential stability Vicsek model
DOI10.1007/s11432-009-0082-0
语种英语
资助项目National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[60804043] ; National Natural Science Foundation of China[60574068] ; Chinese Academy of Sciences[KJCX3-SYW-S01]
WOS研究方向Computer Science
WOS类目Computer Science, Information Systems
WOS记录号WOS:000266094200009
出版者SCIENCE PRESS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/7233
专题系统科学研究所
通讯作者Wang Lin
作者单位Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
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Wang Lin,Liu ZhiXin. Robust consensus of multi-agent systems with noise[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2009,52(5):824-834.
APA Wang Lin,&Liu ZhiXin.(2009).Robust consensus of multi-agent systems with noise.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,52(5),824-834.
MLA Wang Lin,et al."Robust consensus of multi-agent systems with noise".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 52.5(2009):824-834.
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